Consider the curve defined by and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the curve defined by

x=t^{2}-t-2

and

y=t^{3}-3t

. The curve intersects the

y

-axis at points where

x=0

. If the parameter value at the *positive* intersection is used, find the slope of the tangent at that point. (a)

0

(b)

3

(c)

1

(d)

\dfrac{9}{4}